Wiegold's normal generation conjecture for finitely generated perfect groups

Let $G$ be a finitely generated perfect group, meaning $G=[G,G]$, the commutator subgroup of $G$. Wiegold's normal generation conjecture. $G$ can be normally generated by a single element. This is known for finite groups, while the case of infinite groups is a long-standing open problem attributed to J. Wiegold.